The solar wind is made up of ions, mostly protons, flowing out from the Sun at 400 km/s. Near Earth, each cubic kilometer of interplanetary space contains, on average, 6 x 10^15 solar-wind ions. How many moles of ions are in a cubic kilometer of near-Earth space?

9.96x10⁻⁹ moles of ions are in a cubic kilometer

Explanation:

As the problem states, in the near-earth space there are 6x10¹⁵ ions.

Moles are an amount of substance defined as 6.022x10²³. 1 mole of ions are 6.022x10²³ ions

1 mole of substance is 6.022x10²³ particles.

As there are 6x10¹⁵ ions in a cubic kilometer, the moles are:

6x10¹⁵ ions * (1mol / 6.022x10²³ ions) =

it should be p1 v1 = p2 v2

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